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2045154141 = 32449506101
BaseRepresentation
bin111100111100110…
…1001001101011101
312021112022121001200
41321321221031131
513142024413031
6534534430113
7101452344342
oct17171511535
95245277050
102045154141
1195a488638
12490b02339
13267926ba4
141558907c9
15be8318e6
hex79e6935d

2045154141 has 12 divisors (see below), whose sum is σ = 2960696700. Its totient is φ = 1360396800.

The previous prime is 2045154107. The next prime is 2045154173. The reversal of 2045154141 is 1414515402.

2045154141 is a `hidden beast` number, since 2 + 0 + 4 + 515 + 4 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 557432100 + 1487722041 = 23610^2 + 38571^2 .

It is not a de Polignac number, because 2045154141 - 217 = 2045023069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045154101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249010 + ... + 257091.

It is an arithmetic number, because the mean of its divisors is an integer number (246724725).

Almost surely, 22045154141 is an apocalyptic number.

It is an amenable number.

2045154141 is a deficient number, since it is larger than the sum of its proper divisors (915542559).

2045154141 is a wasteful number, since it uses less digits than its factorization.

2045154141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506556 (or 506553 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2045154141 is about 45223.3804685143. The cubic root of 2045154141 is about 1269.3323502111.

Adding to 2045154141 its reverse (1414515402), we get a palindrome (3459669543).

The spelling of 2045154141 in words is "two billion, forty-five million, one hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 3 9 449 1347 4041 506101 1518303 4554909 227239349 681718047 2045154141